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Finding the Third Proportional to 26,342 and 57,758

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Solution

The third proportional to 26,342 and 57,758 is: 126,641.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,342 : 57,758 = 57,758 : x
  2. Step 2: Convert to fraction form
    26,342/57,758 = 57,758/x
  3. Step 3: Cross multiply
    26,342x = 57,758 × 57,758
  4. Step 4: Simplify right side
    26,342x = 3,335,986,564
  5. Step 5: Solve for x
    x = 3,335,986,564/26,342
  6. Step 6: Final answer
    x = 126,641.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.